47581897762080 has 432 divisors, whose sum is σ = 178603946309880. Its totient is φ = 11526759383040.

The previous prime is 47581897762039. The next prime is 47581897762093. The reversal of 47581897762080 is 8026779818574.

47581897762080 is a `hidden beast` number, since 475 + 8 + 1 + 8 + 9 + 7 + 76 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28400756343696 + 19181141418384 = 5329236^2 + 4379628^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245407254 + ... + 245601066.

Almost surely, 2^{47581897762080} is an apocalyptic number.

47581897762080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47581897762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89301973154940).

47581897762080 is an abundant number, since it is smaller than the sum of its proper divisors (131022048547800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47581897762080 is a wasteful number, since it uses less digits than its factorization.

47581897762080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195265 (or 195243 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 47581897762080 in words is "forty-seven trillion, five hundred eighty-one billion, eight hundred ninety-seven million, seven hundred sixty-two thousand, eighty".